An apparel company wants to popularize its products by contacting its prospective customers. The company sets a target of contacting at least 500 men, 400 women, 300 children, and 420 schools. The company incurs £1.5 to make a daytime call and £2.5 to make an evening call. The following distribution shows the percentage of calls attended by the customers during last year’s campaign.

For example, men answer 20 percent of the daytime calls and 25% of the evening calls. The company believes that evening calls realizes poor sales of its products; therefore, the number of calls made in the evening should not exceed 40% of total calls made in a full day. The number of morning calls made should be at least 1500 and evening calls at least 1200; while total number of calls should be at least 2500.

The company wants to determine how may calls it needs to make with minimum cost.
a. Formulate a linear programming model.
b. Solve the model by using the computer.
c. If the company relaxes the evening calls restriction to at most 30%, instead of the current 40%, what will be the new cost?

Transcribed Image Text:

Group Customer type 1 2 3 4 Men Women Children Schools Percent of daytime calls 20 10 10 10 Percent of evening calls 25 25 15 20